In the expansion of (a+x)^n,the coefficient of rth term from the end is
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There are (n + 1) terms in the expansion of (x + a)n. Observing the terms we can say that the first term from the end is the last term, i.e., (n + 1)th term of the expansion and n + 1 = (n + 1) – (1 – 1). The second term from the end is the nth term of the expansion, and n = (n + 1) – (2 – 1). The third term from the end is the (n – 1)th term of the expansion and n – 1 = (n + 1) – (3 – 1) and so on. Thus rth term from the end will be term number (n + 1) – (r – 1) = (n – r + 2) of the expansion. And the (n – r + 2)th term is nCn-r+1 .Xr-1.an-r+1.
I hope this helps you.
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There are (n + 1) terms in the expansion of (x + a)n. Observing the terms we can say that the first term from the end is the last term, i.e., (n + 1)th term of the expansion and n + 1 = (n + 1) – (1 – 1). The second term from the end is the nth term of the expansion, and n = (n + 1) – (2 – 1). The third term from the end is the (n – 1)th term of the expansion and n – 1 = (n + 1) – (3 – 1) and so on. Thus rth term from the end will be term number (n + 1) – (r – 1) = (n – r + 2) of the expansion. And the (n – r + 2)th term is nCn-r+1 .Xr-1.an-r+1.
I hope this helps you.
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